de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y(dy)/(dx)=5x(y^2+5)^9,y(9)=6

Lösung

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{9}, y (9) = 6

Lösung

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

Schritte zur Lösung

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{9}

Solve separable ODE:

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

\frac{x ^{2}}{2} = - \frac{1}{80 ( y ^{2} + 5 ) ^{8}} + \frac{81}{2}

Beliebte Beispiele

(dy)/(dx)+2y=17

\frac{d y}{d x} + 2 y = 17

y^{^{'}} = 0.1 (y - 20)

derivative of x^5+y^4= derivative of 500

\frac{d}{d x} (x^{5} + y^{4}) = \frac{d}{d x} (500)

(dy)/(dx)+2y=19

\frac{d y}{d x} + 2 y = 19

y^'-((x^2-2))/x y=0

y^{^{'}} - \frac{( x ^{2} - 2 )}{x} y = 0